x(7x+2)=(x)2+1

Solution for x(7x+2)=(x)2+1 equation:

Simplifying
x(7x + 2) = (x) * 2 + 1

Reorder the terms:
x(2 + 7x) = (x) * 2 + 1
(2 * x + 7x * x) = (x) * 2 + 1
(2x + 7x2) = (x) * 2 + 1

Reorder the terms for easier multiplication:
2x + 7x2 = 2x + 1

Reorder the terms:
2x + 7x2 = 1 + 2x

Add '-2x' to each side of the equation.
2x + -2x + 7x2 = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
0 + 7x2 = 1 + 2x + -2x
7x2 = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
7x2 = 1 + 0
7x2 = 1

Solving
7x2 = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '7'.
x2 = 0.1428571429

Simplifying
x2 = 0.1428571429

Take the square root of each side:
x = {-0.377964473, 0.377964473}